Answer:
They are -1, 4 and 7.
Step-by-step explanation:
x^3 - 10x^2 + 17x + 28 = 0
Observation of this equation shows that there is an x -intercept at x = -1 because
-1^3 - 10^(-1)^2 - 17(1) + 28 = -28 + 28
= 0.
So x + 1 must be a factor so we can do the division:
x + 1 ) x^3 - 10x^2 + 17x + 28 ( x^2 - 11x + 28
x^3 + x^2
-11x^2 + 17x
-11x^2 - 11x
28x^2 + 28
x^2 - 11x + 28 = ( x - 4)(x - 7)
x = 4, 7.
To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.
Answer:
Multiply (x)
Step-by-step explanation:
If you multiply 15.5 x 3.90 it will give you the total amount of money Chris and Jeff earned.
Answer:
The first one. L (t) = 0.37t + 39.67
Step-by-step explanation:
The "0.37t" is about 0.37 years of life expectancy added for each year that passes the "+ 39.67" is the starting life expectancy that has to be added to whatever the rising trend may be. just multiply 0.37 by 20 and youl have the rising trend.